研究了空间相机调偏流机构运动公式的提取方法, 以便提高运动机构精度, 改善空间相机成像质量。分析了调偏流机构测试数据的分布规律, 建立了它的分布规律模型。采用对角频率ω一维搜索的三参数三角函数拟合方法, 对测试数据进行了最小二乘拟合, 并研究分析了首次拟合残差的分布规律, 提取并修正了其中的系统误差分量, 从而进一步提高了拟合精度。试验结果表明: 使用上述方法提取调偏流机构运动公式后, 调偏流系统控制精度优于30″, 与最小二乘拟合结果(最大拟合偏差20.5107″)相符, 同时满足系统控制要求, 不仅实现了高精度的偏流角控制, 还降低了对零部件加工、装配的要求和制作成本。

The extraction method of kinematic formula for a drift adjusting mechanism in space cameras was researched to accurately control the drift adjusting mechanism and to improve the imaging quality. The distribution law of test data for the drift adjusting mechanism was analyzed, and the model of distribution law was built. Based on three-parameter trigonometric function fitting method by use of angular frequency ω one-dimensional search, the test data were handled by the least square fitting. The distribution law of fitting residual was studied, and the inherent error components were extracted and modified, so that the fitting accuracy was further improved. The test results show that on basis of the kinematic formula of drift adjusting mechanism extracted by the proposed method, the control precision of drift adjusting system is less than 30″, equal to that of least square fitting (maximum fitting deviation 20.5107″). The kinematic formula also satisfies the requirements of control system, realizes high precision control of the drift angle and reduces the demand for part processing, assembling, and production costs.